Questions with Complete Solutions - Hamro CSIT

Find the solution of y” + 4y’ + 4 = 0.

Not Answered Mathematics I

Find the volume of the resulting solid which is enclosed by the curve y = x and y = x²is rotated about the x-axis.

Not Answered Mathematics I

Evaluate \(\int_0^∞ x^3 \sqrt{1 – x^4}\) dx

Not Answered Mathematics I

Stating with x₁ = 2, find the third approximation x₃ to the root of the equation x³ – 2x – 5 = 0

Not Answered Mathematics I

Verify Mean value theorem of f(x) = x³ – 3x + 2 for [-1, 2].

Not Answered Mathematics I

Define continuity on an interval. Show that the function \(f(x) = 1 – \sqrt{1-x^2}\) on the continuous on the interval [1,-1].

Not Answered Mathematics I

If f(x) = \(\sqrt{2-x}\) and g(x) = \(\sqrt{x}\), Find fog and fof

Not Answered Mathematics I

If f(x, y) = \(\frac{y}{x}\) does \(\lim_{(x,y) \to (0, 0)} f(x, y)\) exists? Justify

Not Answered Mathematics I

Define initial value problem. Solve that initial value problem of y’ + 2y = 3, y(0) = 1.

Not Answered Mathematics I

Find the Maclaurin series for cos x and prove that it represents cos x for all x.

Not Answered Mathematics I

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